Compare 3/7 and 40/56
3/7 is smaller than 40/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 56 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 7 × 8 = 56,
3/7 = 3 × 8/7 × 8 = 24/56 - Likewise, for the 2nd fraction, since 56 × 1 = 56,
40/56 = 40 × 1/56 × 1 = 40/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/56 < 40/56 or 3/7 < 40/56
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